Computing GCRDs of Approximate Differential Polynomials

Differential (Ore) type polynomials with approximate polynomial coefficients are introduced. These provide a useful representation of approximate differential operators with a strong algebraic structure, which has been used successfully in the exact, symbolic, setting. We then present an algorithm for the approximate Greatest Common Right Divisor (GCRD) of two approximate differential polynomials, which intuitively is the differential operator whose solutions are those common to the two inputs operators. More formally, given approximate differential polynomials $f$ and $g$, we show how to find "nearby" polynomials $\widetilde f$ and $\widetilde g$ which have a non-trivial GCRD. Here "nearby" is under a suitably defined norm. The algorithm is a generalization of the SVD-based method of Corless et al. (1995) for the approximate GCD of regular polynomials. We work on an appropriately "linearized" differential Sylvester matrix, to which we apply a block SVD. The algorithm has been implemented in Maple and a demonstration of its robustness is presented.Comment: To appear, Workshop on Symbolic-Numeric Computing (SNC'14) July 201

Eugene Grossman

Analysis of three photographs of Eugene Grossman done for a class taught by Philip Hopper in Fall 2019https://scholarworks.uni.edu/digitalhopper_fa2019/1000/thumbnail.jp

Understanding Multi-Organizational Collaboration Using Pragmatic Foundations

Contemporary organizations capability to collaborate is an important competitive advantage and aligning in business networks is an increasingly common business model. Therefore, knowledge regarding characterization of collaboration businesses as well as the structure of business interaction that consists of several dyadic relationships in a multi-actor setting is of growing importance. Understanding such multi-organizational collaboration results in knowledge essential for the coordination of actors and actions involved in the realization of the joint business assignment. In this paper a multi-organizational perspective on collaboration processes is outlined as a pragmatic construction

Digitalization of Sea Transports – Enabling Sustainable Multi-Modal Transports

In todays industries requirements are put upon that the different actors integrate their performance for the purpose of the transportation system as a whole. Door-to-door processes, seamless integration, and multi-modal integration are expressions for such movement where the requirements of the beneficiaries are put at the core. Digitalization could enable such movement. For mid- and long-range transports, sea transports has proven to be a sustainable mean of transport, but it needs to be integrated in a larger transport chain to reach its full effects. In this paper the concept of Sea Traffic Management is introduced as a way to enable integration by an increased degree of digitalization in the shipping industry and further on to the transportation system as a whole. By looking upon sea transports from a multi-organizational point of view and episodic coupling, information sharing processes in which actors’ intentions and performances (states) are shared, has been identified

A geomagnetic survey of parts of Pierce, Benson, Sheridan and Wells counties

A magnetometer survey in respect to oil exploration is a regional reconnaissance tool and, therefore, it is customary to check an interesting magnetic anomaly with a seismograph or gravimeter. An exception to this is found in micro magnetic surveys which, because of their detailed nature 28 nature, may serve as a cheek on the other types of geophysical surveying. The two large magnetic highs may be more areas in the basement rocks, and they may indicate structure. However, the large eastward-trending magnetic high area on the west side of the map area is quite possibly due to a regional increase in magnetic susceptibility caused by changes in lithology. The lower magnetic intensity highs and lows are more likely to reflect basement and possibly overlying sedimentary structure. These highs and lows form at least one northeasterly trend which may be an irregular basement ridge. A promising place to look for oil accumulation might then be on there lower intensity magnetic highs and lows, which may reflect both basement and the overlying sedimentary structures. (See Plate IV, envelope) Because of the coarse sensitivity setting of the instruments used and the large magnetic interval used in contouring the map, the writer does not think that structural relief of a homogenous body is generally indicated. Rather it is believed that changes in magnetic susceptibility were mapped. Ashes previously been discussed, these changes in lithology could affect the structure of the basement and possibly the sedimentary section. The writer thinks that magnetometer surveys in North Dakota made with a sensitive instrument setting can serve a definite purpose in outlining a structural prospect if the previously discussed geological and geophysical elements are kept in mind when interpreting the work

The Emergence of a Multi-Organizational View on Business Processes – Experiences from a Double-loop Action Research Approach

In this paper the need for a multi-organizational perspective on business processes is outlined and a multi-grounded solution based on double-loop action research approach is proposed. Today, contemporary organizations’ capability to collaborate is an important competitive advantage and aligning in business networks is an increasingly common business model. Such development emphasizes the need for knowledge regarding how collaborative businesses could be characterized and how the constituent business interactions could be structured as several dyadic relationships in a multi-actor setting. The multiorganizational perspective proposed in this paper builds on pragmatic foundations and combines a language/action approach with a coordinative view on business processes, enabling design of complete action patterns

Challenging Dyadic Interaction in the Context of Multi-Organizational Business Processes

Value creation of today is often a co-production in multi-organizational settings. This requires knowledge about how to conceive multi-organizational actor roles as foundations for co-ordinating and efficiently co-produce customer value. Some contemporary business process modelling approaches builds upon modelling interaction between two business parties (i.e. dyadic interaction), but do not acknowledge interaction patterns involving several network actors in their different actor roles. In this paper value creation in multi-organizational businesses are seen as value chains in value networks. The notion of assignments is the underlying structure in a multi-organizational perspective on business processes and is used to create foundations for distinguishing interaction patterns. Modelling and improving multi-organizational business processes conceived as action and interaction arranged in assignment structures, imply that dyadic role models need to be challenged as generative instruments. In this paper four generic multi-organizational network actor roles are brought forward (end-customer, main actor, co-ordinating actor, and co-producing actor) given meaning in and further instantiated in generic assignment actor roles based on their involvement in different multi-organizational interaction patterns. Thus, patterns of interaction constituting multi-organizational business processes are distinguished creating the necessary conditions for diverse network actors by the identification of their role in the action logic